ON GRADED UJ-RINGS

Year 2020, , 193 - 205, 14.07.2020

Emil Ilıc-georgıjevıc

https://doi.org/10.24330/ieja.768259

Cited By: 3

Abstract

In this paper, graded rings are $S$-graded rings inducing $S,$ that is, rings whose additive groups can be written as a direct sum of a family of their additive subgroups
indexed by a nonempty set $S,$ and such that the product of two homogeneous elements is again a homogeneous element. As a generalization of the recently
introduced notion of a $UJ$-ring, we define a graded $UJ$-ring. Graded nil clean rings which are graded $UJ$ are described. We also investigate the graded
$UJ$-property under some graded ring constructions.

Keywords

Graded ring, Jacobson radical, nil clean ring

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